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30788224 = 271714149
BaseRepresentation
bin111010101110…
…0101010000000
32010221012111121
41311130222000
530340210344
63015522024
7522460405
oct165345200
963835447
1030788224
1116419715
12a389314
1364bc9ac
1441362ac
152a82684
hex1d5ca80

30788224 has 32 divisors (see below), whose sum is σ = 64948500. Its totient is φ = 14487552.

The previous prime is 30788213. The next prime is 30788267. The reversal of 30788224 is 42288703.

It can be written as a sum of positive squares in 2 ways, for example, as 25806400 + 4981824 = 5080^2 + 2232^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 30788224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4899 + ... + 9250.

Almost surely, 230788224 is an apocalyptic number.

30788224 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

It is an amenable number.

30788224 is an abundant number, since it is smaller than the sum of its proper divisors (34160276).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

30788224 is a wasteful number, since it uses less digits than its factorization.

30788224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14180 (or 14168 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 30788224 is about 5548.7137248195. The cubic root of 30788224 is about 313.4210870351.

The spelling of 30788224 in words is "thirty million, seven hundred eighty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 14149 28298 56596 113192 226384 240533 452768 481066 905536 962132 1811072 1924264 3848528 7697056 15394112 30788224